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Finding the Fourth Proportional to 20,489.68, 30,733.44 and 5,699.44

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Solution

The fourth proportional to 20,489.68, 30,733.44 and 5,699.44 is: 8,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.68 : 30,733.44 = 5,699.44 : x
  2. Step 2: Convert to fraction form
    20,489.68/30,733.44 = 5,699.44/x
  3. Step 3: Cross multiply
    20,489.68x = 30,733.44 × 5,699.44
  4. Step 4: Simplify right side
    20,489.68x = 175,163,397.27
  5. Step 5: Solve for x
    x = 175,163,397.27/20,489.68
  6. Step 6: Final answer
    x = 8,548.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.